论文标题
分析涉及Atangana-Baleanu-Caputo衍生物的非线性分数微分方程
Analysis of Nonlinear Fractional Differential Equations Involving Atangana-Baleanu-Caputo Derivative
论文作者
论文摘要
在本文中,我们确定了Atangana-Baleanu-Caputo分数衍生物的估计。在获得的估计的帮助下,我们得出了比较结果。 Peano的类型存在结果是针对涉及Atangana-Baleanu-Caputo分数衍生物的非线性分数微分方程的。然后将获得的比较结果用于处理本地,极端和全球解决方案的存在。
In the present paper, we determine the estimations on Atangana-Baleanu-Caputo fractional derivative at extreme points. With the assistance of the estimations obtained, we derive the comparison results. Peano's type existence results established for nonlinear fractional differential equations involving Atangana-Baleanu-Caputo fractional derivative. The acquired comparison results are then utilized to deal with the existence of local, extremal and global solution.